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http://dx.doi.org/10.14403/jcms.2013.26.3.467

BOUNDEDNESS AND COMPACTNESS OF SOME TOEPLITZ OPERATORS  

Kang, Si Ho (Department of Mathematics Sookmyung Women's University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.3, 2013 , pp. 467-475 More about this Journal
Abstract
We consider the problem to determine when a Toeplitz operator is bounded on weighted Bergman spaces. We introduce some set CG of symbols and we prove that Toeplitz operators induced by elements of CG are bounded and characterize when Toeplitz operators are compact and show that each element of CG is related with a Carleson measure.
Keywords
weighted Bergman spaces; Toeplitz operators; Berezin transforms; integral operators;
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